Vibration reduction of graphene reinforced porous nanocomposite beams under moving loads using a nonlinear energy sink

Moving loads induced nonlinear vibrations in beams are commonly encountered in various engineering applications, and the resulting responses can be greater than those under equivalent static loads. In this paper, an inertial nonlinear energy sink (NES) is used for the first time to reduce the nonlinear vibration of graphene platelet (GPL) reinforced porous nanocomposite beams under moving loads. Based on the von K & aacute;rm & aacute;n nonlinear theory, the governing equations of the GPL reinforced metal foam beam with an inertial NES are derived using the energy method and Lagrange equation. The Newmark-Newton method combined with the Heaviside step function is adopted to determine the nonlinear responses of the beam under moving loads of constant amplitude and harmonic excitation. An optimization procedure is conducted to optimize the NES parameters to enhance the effectiveness of the inertial NES under different moving load conditions. The optimized inertial NES can effectively reduce the maximum deflection of the beam and achieve better overall performance. The results of this paper provide an important reference for understanding and applying inertial NES to suppress the vibration of composite structures induced by moving loads.